Yo-yo's, Moment of Inertia, and Rotational Potential Energy

In summary, The conversation discusses a PDF document with information on a problem that involves four steps. The problem cannot be solved by 30 friends, and the order of the steps is 2, 5, 3, 4. The second question involves understanding the body's translational motion and calculating the MI for three cylinders. The third and fourth questions involve finding the MI and then drawing a free body diagram to solve for tension and acceleration. The fifth question cannot be solved without knowing the acceleration.
  • #1
conrthomas
1
0
See the attached PDF document, all information is given and the help I need is on number 2-5, which is all one problem. I do already know that you have to do 2, then 5, then 3, then 4. Between 30 of my friends and I, we cannot get it.

Thanks in advance.
 

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  • #2
ok let's start with the second question
you must understand the body is doing both translational motion.
the axis here is the line along which it is rotating. it is passing through three cylinders
for a cylinder MI =(mr^2)/2
you need to calculate for each cylinder and then add these
 
  • #3
for third and fourth questions:
when you have found the MI then:
draw the fbd...
there are two forces on the object- weight and tension here tension in unknown
you know one thing - since there is no slipping the point of object in contact with rope will have zero acceleration.
from this much information you can find tension and acceleration
 
  • #4
you can easily solve the fifth question once you have solved the third and fourth
 
  • #5
the order was not correct
you cannot do 5 without knowing acceleration
 

1. What is a yo-yo and how does it work?

A yo-yo is a toy consisting of two disks connected by an axle with a string looped around it. When the string is pulled, the yo-yo spins and then retracts back to the hand. This is due to the conservation of angular momentum, which states that an object will maintain its rotational motion unless acted upon by an external force.

2. What is moment of inertia and how does it relate to yo-yo's?

Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is affected by an object's mass, shape, and distribution of mass. In yo-yo's, the moment of inertia is important because it determines how easily the yo-yo can spin and how long it will continue to spin.

3. How does rotational potential energy play a role in yo-yo's?

Rotational potential energy is the energy an object possesses due to its position in a rotational system. In the case of yo-yo's, when the string is pulled and the yo-yo spins, it gains rotational potential energy. This energy is then converted to kinetic energy as the yo-yo spins and moves.

4. Can the moment of inertia and rotational potential energy of a yo-yo be changed?

Yes, the moment of inertia and rotational potential energy of a yo-yo can be changed by altering its mass, shape, or distribution of mass. For example, a heavier yo-yo will have a higher moment of inertia and more rotational potential energy than a lighter yo-yo.

5. How are yo-yo's and rotational motion used in scientific research?

Yo-yo's and rotational motion are used in scientific research to study various phenomena, such as angular momentum and rotational energy. They can also be used to demonstrate principles of physics, such as conservation of energy and torque. Additionally, yo-yo's can be used as a tool in experiments to measure factors such as friction and air resistance.

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